Tips. Hide ContactForm7 Menu.

Do you want to show the menus only to network Super Admins by restricitng capability to manage_network_options?

I know nothing about the contact from plugin, but I offer you this instead:

define( 'WPCF7_ADMIN_READ_CAPABILITY', 'manage_network_options' );
define( 'WPCF7_ADMIN_READ_WRITE_CAPABILITY', 'manage_network_options' );